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2012 Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays
O. M. Kwon, M. J. Park, Ju H. Park, S. M. Lee, E. J. Cha
Abstr. Appl. Anal. 2012(SI04): 1-16 (2012). DOI: 10.1155/2012/285931

Abstract

The purpose of this paper is to investigate the delay-dependent stability analysis for discrete-time neural networks with interval time-varying delays. Based on Lyapunov method, improved delay-dependent criteria for the stability of the networks are derived in terms of linear matrix inequalities (LMIs) by constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach. Also, a new activation condition which has not been considered in the literature is proposed and utilized for derivation of stability criteria. Two numerical examples are given to illustrate the effectiveness of the proposed method.

Citation

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O. M. Kwon. M. J. Park. Ju H. Park. S. M. Lee. E. J. Cha. "Improved Criteria on Delay-Dependent Stability for Discrete-Time Neural Networks with Interval Time-Varying Delays." Abstr. Appl. Anal. 2012 (SI04) 1 - 16, 2012. https://doi.org/10.1155/2012/285931

Information

Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1255.93101
MathSciNet: MR2994929
Digital Object Identifier: 10.1155/2012/285931

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI04 • 2012
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